1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.DS2025
Resonant vector bundles, conjugate points, and the stability of pulse solutions to the {S}wift-{H}ohenberg equation using validated numerics: Part I
Margaret Beck, Jonathan Jaquette, Hannah Pieper
In this paper, we develop new theory connected with resonant vector bundles that will allow for the use of validated numerics to rigorously determine the stability of pulse solutio…
math.AP2024★ 1 cited
The Maslov index, degenerate crossings and the stability of pulse solutions to the Swift-Hohenberg equation
Margaret Beck, Jonathan Jaquette, Hannah Pieper
In the scalar Swift-Hohenberg equation with quadratic-cubic nonlinearity, it is known that symmetric pulse solutions exist for certain parameter regions. In this paper we develop a…